MHT CET · Physics · Current Electricity

Sensitivity of moving coil galvanometer is $s$ . If a shunt of ${(\frac{1}{8})}^{t h}$ of the resistance of galvanometer is connected to moving coil galvanometer, its sensitivity becomes

A $\frac{s}{3}$
B $\frac{s}{6}$
C $\frac{s}{9}$
D $\frac{s}{12}$

Verified Solution

Answer & Solution

Correct Answer

(C) $\frac{s}{9}$

Step-by-step Solution

Detailed explanation

S = \frac{G}{8}, S = \frac{G}{n - 1}

\frac{G}{8} = \frac{G}{n - 1}

∴ 8 = n - 1

∴ n = 8 + 1 = 9

Since range of galvanometer has increased nine times its sensitivity reduces to

\frac{1}{9}

∴ S' = \frac{s}{9}

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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Sensitivity of moving coil galvanometer is s. If a shunt of 18th of the resistance of galvanometer is connected to moving coil galvanometer, its sensitivity becomes

Step-by-step Solution

Sensitivity of moving coil galvanometer is $s$ . If a shunt of ${(\frac{1}{8})}^{t h}$ of the resistance of galvanometer is connected to moving coil galvanometer, its sensitivity becomes